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Finding the Third Proportional to 311.21 and 673.47

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Solution

The third proportional to 311.21 and 673.47 is: 1,457.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.21 : 673.47 = 673.47 : x
  2. Step 2: Convert to fraction form
    311.21/673.47 = 673.47/x
  3. Step 3: Cross multiply
    311.21x = 673.47 × 673.47
  4. Step 4: Simplify right side
    311.21x = 453,562.79
  5. Step 5: Solve for x
    x = 453,562.79/311.21
  6. Step 6: Final answer
    x = 1,457.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.